A rational C1 Hermite interpolation scheme on the sphere is introduced, improving the method proposed in [15]. On the base of a careful asymptotic analysis, a new selection of the free parameters is suggested, leading to a fourth order approximation scheme. The resulting curve is also endowed with a C1 rational rotation-minimizing directed frame, which interpolates prescribed end orientations. The spline extension of the scheme is investigated. This is useful, for instance, in the description of smoothly varying camera motions, when a fixed target object is being imaged. Several examples are considered in order to show the performance of the proposed approach.
A theoretical analysis of an improved rational spline scheme for spherical camera motions / M.L. Sampoli; A. Sestini; G. Jaklic; E. Zagar. - STAMPA. - (2014), pp. 442-455. [10.1007/978-3-642-54382-1_25]
A theoretical analysis of an improved rational spline scheme for spherical camera motions
SESTINI, ALESSANDRA;
2014
Abstract
A rational C1 Hermite interpolation scheme on the sphere is introduced, improving the method proposed in [15]. On the base of a careful asymptotic analysis, a new selection of the free parameters is suggested, leading to a fourth order approximation scheme. The resulting curve is also endowed with a C1 rational rotation-minimizing directed frame, which interpolates prescribed end orientations. The spline extension of the scheme is investigated. This is useful, for instance, in the description of smoothly varying camera motions, when a fixed target object is being imaged. Several examples are considered in order to show the performance of the proposed approach.
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