300x250 ComputerGraphics27 Reference notice for Computer graphics category All of the content in the category of computer graphics lies on the book (The Morgan Kaufmann series in computer graphics) Parent, Rick - Computer Animation_ Algorithms and Techniques_ Parent-Elsevier (2012) 2022. 11. 4. Find a point that is a given distance along a curve Find a point that is a given distance along a curve The solution of the equation s - LENGTH(u_a, u)=0 gives the value of u such that the point P(u) is at arc length s from the point P(u_a) Since the arc length is a monotonically increasing function of u, the solution is unique provided that the length of dP(u)/du is not identically 0 over some interval(derivative is nonzero). Newton-Raphson iter.. 2022. 11. 4. The analytic approach to computing arc length The analytic approach to computing arc length The length of the curve from a point P(u_a) to P(u_b) can be found by Estimating arc length by forward differencing As mentioned, analytic techniques are not tractable for many curves. The easiest and simplest strategy for establishing the correspondence between parameter value and arc length is to sample the curve at a multitude of parametric values.. 2022. 11. 1. Controlling the motion of a point along the curve 3.2 Controlling the motion of a point along a curve Designing the shape of a curve is the first step in creating an animation path. The speed at which the curve is traced out has to be under the control of the animator to produce predictable results. The first step in giving the animator control is to establish a method for stepping along the curve in equal increments. An interpolating technique.. 2022. 10. 31. 이전 1 2 3 4 5 6 7 다음 300x250
