A method for determining a zoom path between predetermined viewing point Pn+1 in a three-dimensional (3D) virtual space and a target point P0 in the 3D space, the target point having an integer n≧2 of predetermined control points P1, . . . Pn in the 3D space, the distance between Pk to P0 in the 3D space being less than the distance between Pk+1 to P0 in the 3D space for all 1 the points P0, . . . Pn being coplanar the method comprising:
generating a nonlinear zoom path in the 3D space between the viewing point Pn+1 to the control point P1, the zoom path passing through the points P1, . . . , Pm, where m is an integer satisfying 1≦m≦n,
wherein
- a projection of the zoom path onto the plane containing points P0, . . . Pn has a continuous derivative, and
- at least one point on the zoom path has exactly two coordinates in common with a control point selected from the control points Pm+1, . . . , Pn.
Text extracted from US-20110261052-A1
A method for determining a zoom path between predetermined viewing point Pn+1 in a three-dimensional (3D) virtual space and a target point P0 in the 3D space, the target point having an integer n≧2 of predetermined control points P1, . . . Pn in the 3D space, the distance between Pk to P0 in the 3D space being less than the distance between Pk+1 to P0 in the 3D space for all 1 the points P0, . . . Pn being coplanar the method comprising:
generating a nonlinear zoom path in the 3D space between the viewing point Pn+1 to the control point P1, the zoom path passing through the points P1, . . . , Pm, where m is an integer satisfying 1≦m≦n,
wherein
- a projection of the zoom path onto the plane containing points P0, . . . Pn has a continuous derivative, and
- a portion of the zoom path containing the points P1, . . . , Pm, is obtained by polynomial interpolation between Pk and Pk+1 for k=1 to m−1.
Text extracted from US-20110261052-A1

Vocabulary

virtual
zoom

Structure

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