Net migration rate - Revision history

en>Mlinwiki at 22:35, 7 November 2014

2014-11-07T22:35:04Z

← Older revision		Revision as of 00:35, 8 November 2014
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	~~In [[computer graphics]], the '''Liang–Barsky algorithm''' (named after [[You-Dong Liang]] and [[Brian A~~. ~~Barsky]])~~ is ~~a [[line clipping]] algorithm~~. ~~The Liang–Barsky algorithm uses the parametric equation of a line and inequalities describing the range of~~ the ~~clipping window~~ to ~~determine the intersections between the line~~ and ~~the clipping window. With these intersections it knows which portion of the line should be drawn~~. ~~This algorithm is significantly more efficient than [[Cohen–Sutherland]].~~		The author is called Irwin. Supervising is my profession. Years in the past we moved to North Dakota and I adore every working day living here. One of the things she enjoys most is to do aerobics and now she is attempting to earn cash with it.<br><br>Also visit my weblog - [http://Googele.ga/dietmealsdelivered20142 Googele.ga]

	~~The idea~~ of the ~~Liang-Barsky clipping algorithm~~ is to do ~~as much testing as possible before computing line intersections.~~
	~~Consider first the usual parametric form of a straight line:~~

	~~:<math>x = x_0 + u (x_1 - x_0) = x_0 + u \Delta x\,\!</math>~~
	~~:<math>y = y_0 + u (y_1 - y_0) = y_0 + u \Delta y\,\!</math>~~

	~~A point is in the clip window, if~~
	~~:<math>x_{\text{min}} \le x_0 + u \Delta x \le x_{\text{max}}\,\!</math>~~
	and
	~~:<math>y_{\text{min}} \le y_0 + u \Delta y \le y_{\text{max}}\,\!</math>,~~
	~~which can be expressed as the 4 inequalities~~
	~~:<math>u p_k \le q_k, \quad k = 1, 2, 3, 4\,\!</math>,~~
	~~where~~

	~~:<math>p_1 = -\Delta x , q_1 = x_0 - x_{\text{min}}\,\!</math> (left)~~
	~~:<math>p_2 = \Delta x , q_2 = x_{\text{max}} - x_0\,\!</math> (right)~~
	~~:<math>p_3 = -\Delta y , q_3 = y_0 - y_\text{min}\,\!</math> (bottom)~~
	~~:<math>p_4 = \Delta y , q_4 = y_\text{max} - y_0\,\!</math> (top)~~

	~~To compute the final line segment:~~
	~~# A line parallel to a clipping window edge has <math>p_k = 0</math> for that boundary.~~
	~~# If for that <math>k</math>, <math>q_k < 0</math>, the line~~ is ~~completely outside and can be eliminated.~~
	~~# When <math>p_k < 0</math> the line proceeds outside~~ to ~~inside the clip window and when <math>p_k > 0</math>, the line proceeds inside to outside.~~
	~~# For nonzero <math>p_k</math>, <math>u = \frac{q_k}{p_k}</math> gives the intersection point.~~
	~~# For each line, calculate <math>u_1</math> and <math>u_2</math>~~. ~~For <math>u_1~~<~~/math~~>~~, look at boundaries for which~~ <~~math~~>~~p_k < 0</math> (outside~~ -> in). Take <math>u_1</math> to be the largest among <math>\left(0,\frac{q_k}{p_k}\right)</math>. For <math>u_2</math>, look at boundaries for which <math>p_k > 0</math> (inside -> out). Take <math>u_2</math> to be the minimum of <math>\left(1, \frac{q_k}{p_k}\right)</math>. If <math>u_1 > u_2</math>, the line is outside and therefore rejected.

	~~==See also==~~
	~~Algorithms used for the same purpose:~~
	* [[Cyrus–Beck]]
	* [[Nicholl–Lee–Nicholl]]
	* [[Fast-clipping]]

	~~==References==~~
	* Liang, Y.D., and Barsky, B., "A New Concept and Method for Line Clipping", ''ACM Transactions on Graphics'', 3(1):1-22, January 1984.
	* Liang, Y.D., B.A., Barsky, and M. Slater, ''Some Improvements to a Parametric Line Clipping Algorithm'', CSD-92-688, Computer Science Division, University of California, Berkeley, 1992.
	* James D. Foley. ''[http://~~books~~.~~google.com~~/~~books/about/Computer_graphics~~.~~html?id=-4ngT05gmAQC Computer graphics: principles and practice]''. Addison-Wesley Professional, 1996. p. 117.~~

	~~==External links==~~
	* http://hinjang.com/articles/04.html

	~~{{DEFAULTSORT:Liang-Barsky algorithm}}~~
	~~[[Category:Clipping (computer graphics)]~~]

84.3.71.228 at 22:10, 1 December 2013

2013-12-01T22:10:30Z

← Older revision		Revision as of 00:10, 2 December 2013
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	~~New Condominium is an upcoming mixed growth situated in Yishun Central~~, ~~Northern Region of Singapore~~. ~~This growth~~ is ~~strategically positioned subsequent~~ to ~~Northpoint Procuring Centre~~ and ~~opposite~~ of ~~Yishun Prepare Station~~. ~~New Condo~~ is ~~a ninety nine years leasehold venture that has a web site area~~ of ~~approximately 442,397 sq. toes. Upon completion it~~ is ~~going~~ to ~~comprise~~ of ~~an estimated 890 residential models and 359~~,~~084 square ft of economic house.~~<br><br>~~The Hillford~~ is ~~a brand new launch condominium situated along Jalan Jurong Kechil~~, ~~it's a luxurious~~ and ~~fashionable designed condominium collectively developed by Fragrance Group and World Class Land. The Hillford is filled with excitements for you and your loved ones~~, ~~this new launch condo have BBQ area~~, ~~a swimming pool~~, ~~gym~~, ~~youngsters's playground~~, ~~operate room~~, ~~clubhouse and many more. You'll be positive to be entertained whole day and night with The Hillford cutting~~-~~edge amenities and facilities.~~<br><br>~~Mapex @ Marymount is a freehold improvement providing an excellent alternative to put money into premier B1 industrial properties in Singapore. Located on Jalan Pemimpin~~, ~~and proper subsequent to Marymount MRT Station~~, ~~a major specific method and major roads~~, its central location This amazing Pasir Ris Rental have all of the amenities and facilities which you'll ever need with so many thrilling actions which you can enjoy. Inflora condo the new launch at Pasir Ris, ~~is the best house for anybody who is searching for a contemporary and classy lifestyle. Register your curiosity with us~~, ~~to obtain high priority in receiving the Inflora rental latest updates and to visit our showflat first~~-~~hand when is open to public. Upcoming Government Condominium~~ (~~Govt Condo / EC~~)<br><br>~~Inflora Condominium is also near to exciting places like Tanah Merah Golf & Nation Club and Safra Golf & Nation Club, supplying you with tons of entertainment~~ for ~~yourself and your loved ones~~. ~~An ideal place~~ for ~~your loved ones as it is near to some of Singapore's top faculties like Dunman Secondary Faculty~~, ~~Temasek Junior College~~, ~~Temasek Polytechnic, United World College, Japanese Major School~~ and ~~more. You will~~ be ~~assured that your youngsters obtain prime and professional education from these schools~~.<br><br>~~Analysts mentioned~~ the ~~location at Yuan Ching Street is very well-liked because it's~~ the ~~first EC site tender in Jurong West for~~ the ~~reason that withdrawal of a earlier tender within the space in July 2010~~. ~~The Jurong EC website additionally faces~~ the ~~picturesque Jurong Lake and Chinese language Backyard~~. The premier riverfront Government Condominium. A couple in hovering romance. A family in a fun-crammed journey. 665 unit One Canberra contains 2 to four-bedroom models as well as 5 bedroom penthouses. It also boasts twin key residences; a studio sometimes connected to either three and ~~4 bedder to enable prolonged households to dwell collectively~~. ~~EC owners can promote unit to SC~~ / ~~SPR after MOP~~ (~~5 years~~)~~; and to foreigners 10 yearsafter HIGH~~. ~~No ethnic quota restrictions. Proximity to Kallang River and Nature~~<br><br>~~Jurong Gateway a new business location by~~ the ~~lake~~, additional enhances the worth of this new apartment launch at Jurong West St 41, you principally have the best of both worlds on the consolation of your home. Be swarmed with even more entertainment as there are extra upcoming new developments coming your way [http:/~~/fakelandia~~.~~com~~/~~index.php?do=~~/~~profile~~-~~23355~~/~~info/ The Skywoods units sold] at Jurong Gateway such because~~ the ~~redevelopment~~ of ~~Jurong Leisure Centre~~, ~~Massive Field Warehouse Retail Outlet and more. A new bus interchange will make going anywhere in Singapore much more simpler than ever~~.<br><br>~~The up~~ and ~~coming MRT reminiscent of Hillview MRT offers you more convenience to journey to different thrilling places~~ and ~~sizzling spots of Singapore~~. ~~Should you desire someplace extra serene~~ and ~~quiet~~, ~~you~~'~~ll be able to go to Bukit Timah Nature Reserve and be one with nature~~, ~~go for a jog or just loosen up with recent morning air~~. ~~Register with us or contact us straight now to find out extra about The Hillford Apartment~~. ~~We will inform you with all the most recent updates about The Hillford in the present day !<br><br>~~A ~~number of buses are available close to J Gateway along with shopping centers and eating places~~. ~~J Gateway is also near to Jurong Lake Park~~ and ~~The Japanese Backyard~~. Entertainment for your loved ones and buddies is subsequently at your fingertips with the complete condominium amenities as well as the facilities near J Gateway. Plentiful of Facilities – New Condo is simply subsequent door to ~~Northpoint Procuring Centre which presents~~ a ~~wide selection~~ of ~~retail~~, ~~consuming joints~~ and ~~entertainment services~~. ~~Nicely Connected – New Apartment is definitely connected to SLE which makes island extensive traveling a breeze~~. ~~Potential Rental Return – With its conveniences, New Condominium is bound to attract a huge pool of tenants~~. ~~Hallmark Residences @ District 10 Mon Jervois @ District 10 pending on the market licence Approval~~		In [[computer graphics]], the '''Liang–Barsky algorithm''' (named after [[You-Dong Liang]] and [[Brian A. Barsky]]) is a [[line clipping]] algorithm. The Liang–Barsky algorithm uses the parametric equation of a line and inequalities describing the range of the clipping window to determine the intersections between the line and the clipping window. With these intersections it knows which portion of the line should be drawn. This algorithm is significantly more efficient than [[Cohen–Sutherland]].

			The idea of the Liang-Barsky clipping algorithm is to do as much testing as possible before computing line intersections.
			Consider first the usual parametric form of a straight line:

			:<math>x = x_0 + u (x_1 - x_0) = x_0 + u \Delta x\,\!</math>
			:<math>y = y_0 + u (y_1 - y_0) = y_0 + u \Delta y\,\!</math>

			A point is in the clip window, if
			:<math>x_{\text{min}} \le x_0 + u \Delta x \le x_{\text{max}}\,\!</math>
			and
			:<math>y_{\text{min}} \le y_0 + u \Delta y \le y_{\text{max}}\,\!</math>,
			which can be expressed as the 4 inequalities
			:<math>u p_k \le q_k, \quad k = 1, 2, 3, 4\,\!</math>,
			where

			:<math>p_1 = -\Delta x , q_1 = x_0 - x_{\text{min}}\,\!</math> (left)
			:<math>p_2 = \Delta x , q_2 = x_{\text{max}} - x_0\,\!</math> (right)
			:<math>p_3 = -\Delta y , q_3 = y_0 - y_\text{min}\,\!</math> (bottom)
			:<math>p_4 = \Delta y , q_4 = y_\text{max} - y_0\,\!</math> (top)

			To compute the final line segment:
			# A line parallel to a clipping window edge has <math>p_k = 0</math> for that boundary.
			# If for that <math>k</math>, <math>q_k < 0</math>, the line is completely outside and can be eliminated.
			# When <math>p_k < 0</math> the line proceeds outside to inside the clip window and when <math>p_k > 0</math>, the line proceeds inside to outside.
			# For nonzero <math>p_k</math>, <math>u = \frac{q_k}{p_k}</math> gives the intersection point.
			# For each line, calculate <math>u_1</math> and <math>u_2</math>. For <math>u_1</math>, look at boundaries for which <math>p_k < 0</math> (outside -> in). Take <math>u_1</math> to be the largest among <math>\left(0,\frac{q_k}{p_k}\right)</math>. For <math>u_2</math>, look at boundaries for which <math>p_k > 0</math> (inside -> out). Take <math>u_2</math> to be the minimum of <math>\left(1, \frac{q_k}{p_k}\right)</math>. If <math>u_1 > u_2</math>, the line is outside and therefore rejected.

			==See also==
			Algorithms used for the same purpose:
			* [[Cyrus–Beck]]
			* [[Nicholl–Lee–Nicholl]]
			* [[Fast-clipping]]

			==References==
			* Liang, Y.D., and Barsky, B., "A New Concept and Method for Line Clipping", ''ACM Transactions on Graphics'', 3(1):1-22, January 1984.
			* Liang, Y.D., B.A., Barsky, and M. Slater, ''Some Improvements to a Parametric Line Clipping Algorithm'', CSD-92-688, Computer Science Division, University of California, Berkeley, 1992.
			* James D. Foley. ''[http://books.google.com/books/about/Computer_graphics.html?id=-4ngT05gmAQC Computer graphics: principles and practice]''. Addison-Wesley Professional, 1996. p. 117.

			==External links==
			* http://hinjang.com/articles/04.html

			{{DEFAULTSORT:Liang-Barsky algorithm}}
			[[Category:Clipping (computer graphics)]]

en>Mightymights: Undid revision 490386319 by 182.177.133.76 (talk)

2012-05-22T15:28:17Z

Undid revision 490386319 by 182.177.133.76 (talk)

New page

New Condominium is an upcoming mixed growth situated in Yishun Central, Northern Region of Singapore. This growth is strategically positioned subsequent to Northpoint Procuring Centre and opposite of Yishun Prepare Station. New Condo is a ninety nine years leasehold venture that has a web site area of approximately 442,397 sq. toes. Upon completion it is going to comprise of an estimated 890 residential models and 359,084 square ft of economic house. The Hillford is a brand new launch condominium situated along Jalan Jurong Kechil, it's a luxurious and fashionable designed condominium collectively developed by Fragrance Group and World Class Land. The Hillford is filled with excitements for you and your loved ones, this new launch condo have BBQ area, a swimming pool, gym, youngsters's playground, operate room, clubhouse and many more. You'll be positive to be entertained whole day and night with The Hillford cutting-edge amenities and facilities. Mapex @ Marymount is a freehold improvement providing an excellent alternative to put money into premier B1 industrial properties in Singapore. Located on Jalan Pemimpin, and proper subsequent to Marymount MRT Station, a major specific method and major roads, its central location This amazing Pasir Ris Rental have all of the amenities and facilities which you'll ever need with so many thrilling actions which you can enjoy. Inflora condo the new launch at Pasir Ris, is the best house for anybody who is searching for a contemporary and classy lifestyle. Register your curiosity with us, to obtain high priority in receiving the Inflora rental latest updates and to visit our showflat first-hand when is open to public. Upcoming Government Condominium (Govt Condo / EC) Inflora Condominium is also near to exciting places like Tanah Merah Golf & Nation Club and Safra Golf & Nation Club, supplying you with tons of entertainment for yourself and your loved ones. An ideal place for your loved ones as it is near to some of Singapore's top faculties like Dunman Secondary Faculty, Temasek Junior College, Temasek Polytechnic, United World College, Japanese Major School and more. You will be assured that your youngsters obtain prime and professional education from these schools. Analysts mentioned the location at Yuan Ching Street is very well-liked because it's the first EC site tender in Jurong West for the reason that withdrawal of a earlier tender within the space in July 2010. The Jurong EC website additionally faces the picturesque Jurong Lake and Chinese language Backyard. The premier riverfront Government Condominium. A couple in hovering romance. A family in a fun-crammed journey. 665 unit One Canberra contains 2 to four-bedroom models as well as 5 bedroom penthouses. It also boasts twin key residences; a studio sometimes connected to either three and 4 bedder to enable prolonged households to dwell collectively. EC owners can promote unit to SC / SPR after MOP (5 years); and to foreigners 10 yearsafter HIGH. No ethnic quota restrictions. Proximity to Kallang River and Nature Jurong Gateway a new business location by the lake, additional enhances the worth of this new apartment launch at Jurong West St 41, you principally have the best of both worlds on the consolation of your home. Be swarmed with even more entertainment as there are extra upcoming new developments coming your way [http://fakelandia.com/index.php?do=/profile-23355/info/ The Skywoods units sold] at Jurong Gateway such because the redevelopment of Jurong Leisure Centre, Massive Field Warehouse Retail Outlet and more. A new bus interchange will make going anywhere in Singapore much more simpler than ever. The up and coming MRT reminiscent of Hillview MRT offers you more convenience to journey to different thrilling places and sizzling spots of Singapore. Should you desire someplace extra serene and quiet, you'll be able to go to Bukit Timah Nature Reserve and be one with nature, go for a jog or just loosen up with recent morning air. Register with us or contact us straight now to find out extra about The Hillford Apartment. We will inform you with all the most recent updates about The Hillford in the present day ! A number of buses are available close to J Gateway along with shopping centers and eating places. J Gateway is also near to Jurong Lake Park and The Japanese Backyard. Entertainment for your loved ones and buddies is subsequently at your fingertips with the complete condominium amenities as well as the facilities near J Gateway. Plentiful of Facilities – New Condo is simply subsequent door to Northpoint Procuring Centre which presents a wide selection of retail, consuming joints and entertainment services. Nicely Connected – New Apartment is definitely connected to SLE which makes island extensive traveling a breeze. Potential Rental Return – With its conveniences, New Condominium is bound to attract a huge pool of tenants. Hallmark Residences @ District 10 Mon Jervois @ District 10 pending on the market licence Approval