Inverse-gamma distribution - Revision history

en>Daniel Bertrand: /* Related distributions */

2015-01-07T10:54:32Z

Related distributions

← Older revision		Revision as of 12:54, 7 January 2015
Line 1:		Line 1:
	~~In computer graphics, a '''silhouette edge''' on a 3D body projected onto a 2D plane (display plane) is~~ the ~~collection of points whose outwards~~ '~~'surface normal is perpendicular to the view vector''. Due to discontinuities in the surface normal,~~ a ~~silhouette edge is also an edge which separates a front facing face~~ from ~~a back facing face~~. ~~Without loss of generality, this edge is usually chosen to be the closest one on a face, so~~ that ~~in parallel view this edge corresponds to the same one in a perspective view~~. ~~Hence~~, ~~if there is an edge between a front facing face~~ and ~~a side facing face, and another edge between a side facing face and back facing face~~, the ~~closer one is chosen. The easy example is looking at a cube in the direction where the face normal is collinear with the view vector.~~		<br><br>The other day I woke up and realized - At the moment I've been solitary for a while and after much intimidation from pals I now locate myself registered for on line dating. They promised me that there [http://lukebryantickets.iczmpbangladesh.org where can i buy luke bryan tickets] are plenty of entertaining, sweet and regular individuals to meet up, therefore here goes the toss!<br>I attempt to keep as physically healthy as possible coming to the fitness center several-times weekly. I enjoy my athletics and [http://Photo.net/gallery/tag-search/search?query_string=endeavor endeavor] to play or see since many a potential. I'll frequently at [http://thesaurus.com/browse/Hawthorn+matches Hawthorn matches] being winter. [http://minioasis.com luke bryan tickets klipsch] Note: I've observed [http://lukebryantickets.flicense.com the today show luke bryan] the carnage of wrestling suits at stocktake revenue, Supposing that you will considered buying a hobby I really [http://www.banburycrossonline.com Luke bryan tickets go on sale] don't brain.<br>My family and pals are amazing and spending some time together at pub gigs or dinners is consistently imperative. I have never been in to dance clubs as I realize you could do not own a significant conversation against the sound. Additionally, I got two very adorable and undoubtedly cheeky puppies that are invariably enthusiastic to meet up new folks.<br><br>My webpage [http://lukebryantickets.neodga.com luke bryan 2014 tour dates]

	~~The first type of silhouette edge is sometimes troublesome~~ to ~~handle because it does not necessarily correspond~~ to ~~a physical edge in~~ the ~~CAD model. The reason that this can be an issue is that a programmer might corrupt the original model by introducing the new silhouette edge into the problem~~. ~~Also, given that the edge strongly depends upon the orientation of the model~~ and ~~view vector, this can introduce numerical instabilities into the algorithm (such as when a trick like~~ [~~[Dilution of precision (computer graphics)\|dilution of precision]] is considered)~~.

	=~~= Computation ==~~
	~~To determine the silhouette edge of an object, we first have~~ to ~~know the [[Plane (mathematics)\|plane equation]] of all faces~~. ~~Then, by examining the sign of the~~ '~~'point-plane distance'' from the light-source to each face~~
	:~~<math>ax+by+cz+d = \begin{cases} > 0 & \text{front facing} \\ = 0 & \text{parallel} \\ < 0 & \text{back facing} \end{cases} <~~/~~math>~~
	~~Using this result, we can determine if the face is front- or back facing~~.

	~~The silhouette edge(s) consist of all '''edges separating a front facing face from a back facing face'''.~~

	~~== Similar Technique ==~~
	~~A convenient and practical implementation of front~~/~~back facing detection is to use the [[unit normal~~]~~] of the plane (which is commonly precomputed for lighting effects anyway), then simply applying the~~ [~~[dot product~~]~~] of the light position to the plane~~'~~s unit normal and adding the~~ [~~[Plane_(geometry)#Define_a_plane_with_a_point_and_a_normal_vector\| D component of~~ the ~~plane equation~~ ]~~] (~~a ~~scalar value)~~:


	~~:<math> \textbf{normal}\cdot (\textbf{light position}) + \text{plane}_D = \langle a, b, c, d\rangle \cdot \langle L_x, L_y, L_z, L_w \rangle + \text{plane}_D <~~/~~math>~~

	~~:<math> a L_x + b L_y + c L_z + d L_w + \text{plane}_D = \text{indicator} <~~/~~math>~~



	~~Where plane_D is easily calculated as a point~~ on ~~the plane dot product with the unit normal of the plane:~~
	~~:<math> \text{plane}_D = \text{PointOnPlane}\cdot(\textbf{normal})~~<~~/math~~>


	~~Note: The [[homogeneous coordinates]], L_w~~ and d, are ~~not always needed for this computation~~.


	~~After doing this calculation,~~ you ~~may notice ''indicator'' is actually~~ the ~~signed distance from the plane to the light position~~. ~~This distance ''indicator'' will be negative if it is behind the face~~, and ~~positive if it is in front of the face~~.

	:<~~math~~>~~\text{indicator} = \begin{cases} > 0 & \text{front-facing} \\ = 0 & \text{parallel} \\ < 0 & \text{back-facing} \end{cases}~~ <~~/math~~>


	~~This is also the technique used in the 2002 [~~[~~SIGGRAPH]] paper, "Practical and Robust Stenciled Shadow Volumes for Hardware-Accelerated Rendering"~~

	~~== External links ==~~
	*http://~~wheger~~.~~tripod~~.com~~/vhl/vhl.htm~~

	~~[[Category:3D computer graphics]~~]

en>Btyner: occurrence

2014-01-12T01:39:27Z

occurrence

← Older revision		Revision as of 03:39, 12 January 2014
Line 1:		Line 1:
	~~Or else the most challenging dependence on strike~~, ~~it has been asserted that an dependence~~ on ~~nicotine~~ is ~~truly one~~ of~~. We’ve all noticed~~ the ~~“quit cool turkey” idiom just before~~. ~~Thankfully for most those that smoke fighting internationally, smokers wishing~~ to ~~quit smoking cigarettes have various remedies now. It is a very difficult task escaping~~ the ~~icy grasp of obsession~~, ~~but clearette electronic cigarettes will surely support~~ a ~~smoker on their journey.<br><br>Not every individual~~ is in a ~~position to say their ultimate good bye to nicotine~~. ~~But even though they are not, clearette electronic cigarettes can nevertheless play a role from the therapeutic and process~~ of ~~recovery. While not everybody agrees from what degree~~, ~~there may~~ be ~~simply no doubt that e-cigarettes are~~ a ~~more healthy replacement for conventional combustible cigarette smoking. But if you’re willing to quit smoking for better~~, ~~here are a couple good ideas (or over~~ to the ~~point~~, ~~good reasons) to why clearette electronic cigarettes are~~ a ~~lot more and superior useful than the nicotine patch~~ and ~~quitting smoking frosty turkey.<br><br>1. Vaping feels like Cigarette smoking.<br><br>No matter if you’re trying~~ a ~~hypnotist~~, a ~~diet~~, ~~or perhaps~~ a ~~magic spell~~ to ~~curb your urge~~ to ~~cigarette smoke, you are continue to intending to obtain~~ that ~~encourage. That deep-seated desirable to drag your selected product. And E-smoking perform on~~ that ~~desire~~. ~~If you believe [http://clearettereview.com/ 510 e cig] like you really need to light up~~, ~~then practice it~~, ~~if you would~~ like ~~smoke cigarettes~~. ~~But rather than grabbing that carcinogen riddled stick~~ of ~~loss, take~~ an ~~excellent~~, ~~user-friendly electronic cigarette. If you’re one of those people who smoke which simply doesn’t~~ know ~~what you can do what together with his/her fingers, compared to~~ the ~~e-cig is ideal for you~~. ~~You can actually attract~~ the ~~delectable vapors with out eating~~ the ~~numerous contaminants seen in traditional combustible cigs. E~~-~~cigs are~~ the ~~future and also the factor~~ to ~~defeating your smoking.~~<br>~~<br~~>~~2. No Smell, No Issue~~<~~br>~~<br>~~Any tobacco user~~, ~~whether they~~ can ~~be a chain smoke enthusiast~~ or ~~otherwise not, is familiar with~~ all ~~to nicely the difficulty of smelling like cigarette smoke~~. ~~Among the list~~ of ~~main selling details on most e-cigs~~ is ~~they are odorless. Not does a tobacco smoker need~~ to ~~tolerate~~ the ~~continual surroundings~~ of ~~stagnant fumes pursuing them. Mainly because clearette electronic cigarettes do not melt off~~, ~~their is not any getting rid~~ of ~~or ashy odor. They high temperature vapor. Delightful, odorless vapor. So you do not should pack up~~ and ~~enterprise out into~~ the ~~frosty winter’s evening if you want to glow. Instead you could be placed on~~ the ~~chair with your family while not stressing about next-hands fumes or smelling such as an ashtray. Also~~, ~~your non-tobacco user significant other won’t cringe at any time time you slim in for a kiss.~~<br><br>~~3. No Tar residue~~<br><br>~~Have you figured out what tar does~~ for you ~~personally? Tar~~ is ~~not meant~~ to be in the ~~body system. It yellows your tooth~~ and ~~your fingernails. No one desires to stroll around with discolored capabilities. This also harms~~ the ~~actual skin~~. ~~Who demands that?~~<br>~~<br~~>~~4. They’re just less complicated~~<~~br>~~<br>~~You will no longer really need to “bum a light” or electronic cigarette health risks~~ [[http://~~clearettereview~~.com/~~electronic-cigarette-health-risks~~/ ~~http~~:~~//clearettereview.com/electronic-cigarette-health-risks/~~]] simply “bum a cig.” You hardly ever ought to light up an e-cigarette since they possess the heating up reference inbuilt. And yet again, there is no requirement to move every time you wish to smoke, specifically in a light up-free atmosphere. No using up, no fumes, not a problem.		In computer graphics, a '''silhouette edge''' on a 3D body projected onto a 2D plane (display plane) is the collection of points whose outwards ''surface normal is perpendicular to the view vector''. Due to discontinuities in the surface normal, a silhouette edge is also an edge which separates a front facing face from a back facing face. Without loss of generality, this edge is usually chosen to be the closest one on a face, so that in parallel view this edge corresponds to the same one in a perspective view. Hence, if there is an edge between a front facing face and a side facing face, and another edge between a side facing face and back facing face, the closer one is chosen. The easy example is looking at a cube in the direction where the face normal is collinear with the view vector.

			The first type of silhouette edge is sometimes troublesome to handle because it does not necessarily correspond to a physical edge in the CAD model. The reason that this can be an issue is that a programmer might corrupt the original model by introducing the new silhouette edge into the problem. Also, given that the edge strongly depends upon the orientation of the model and view vector, this can introduce numerical instabilities into the algorithm (such as when a trick like [[Dilution of precision (computer graphics)\|dilution of precision]] is considered).

			== Computation ==
			To determine the silhouette edge of an object, we first have to know the [[Plane (mathematics)\|plane equation]] of all faces. Then, by examining the sign of the ''point-plane distance'' from the light-source to each face
			:<math>ax+by+cz+d = \begin{cases} > 0 & \text{front facing} \\ = 0 & \text{parallel} \\ < 0 & \text{back facing} \end{cases} </math>
			Using this result, we can determine if the face is front- or back facing.

			The silhouette edge(s) consist of all '''edges separating a front facing face from a back facing face'''.

			== Similar Technique ==
			A convenient and practical implementation of front/back facing detection is to use the [[unit normal]] of the plane (which is commonly precomputed for lighting effects anyway), then simply applying the [[dot product]] of the light position to the plane's unit normal and adding the [[Plane_(geometry)#Define_a_plane_with_a_point_and_a_normal_vector\| D component of the plane equation ]] (a scalar value):


			:<math> \textbf{normal}\cdot (\textbf{light position}) + \text{plane}_D = \langle a, b, c, d\rangle \cdot \langle L_x, L_y, L_z, L_w \rangle + \text{plane}_D </math>

			:<math> a L_x + b L_y + c L_z + d L_w + \text{plane}_D = \text{indicator} </math>



			Where plane_D is easily calculated as a point on the plane dot product with the unit normal of the plane:
			:<math> \text{plane}_D = \text{PointOnPlane}\cdot(\textbf{normal})</math>


			Note: The [[homogeneous coordinates]], L_w and d, are not always needed for this computation.


			After doing this calculation, you may notice ''indicator'' is actually the signed distance from the plane to the light position. This distance ''indicator'' will be negative if it is behind the face, and positive if it is in front of the face.

			:<math>\text{indicator} = \begin{cases} > 0 & \text{front-facing} \\ = 0 & \text{parallel} \\ < 0 & \text{back-facing} \end{cases} </math>


			This is also the technique used in the 2002 [[SIGGRAPH]] paper, "Practical and Robust Stenciled Shadow Volumes for Hardware-Accelerated Rendering"

			== External links ==
			*http://wheger.tripod.com/vhl/vhl.htm

			[[Category:3D computer graphics]]

131.152.55.185: /* Probability density function */ Brackets around x falsy hint to it being a function argument. Without brackets, it is easier to understand.

2012-08-30T08:28:13Z

Probability density function: Brackets around x falsy hint to it being a function argument. Without brackets, it is easier to understand.

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