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Item Interactive Shape Control of Interpolating B-splines(Blackwell Science Ltd and the Eurographics Association, 1992) Krokos, M. A.; Slater, M.This paper presents a new methodfor providing interactive shape control of interpolating B-splines. The CAD designer can directly interact with geometric entities defined on the B-spline at any interpolated data point- shape adjustments can be performed either globally or locally. Our approach is based on B?-splines of order k (?,k ?1), i.e. ?-reparametrized, classical B-splines. The method presented can be easily generalised to surfaces defined either as tensor products or by using the skinning technique- interactive shape control can be provided in both surface parametric directions.Item Computing Dynamic Changes to BSP Trees(Blackwell Science Ltd and the Eurographics Association, 1992) Chrysanthou, Y.; Slater, M.This paper investigates a new method for dynamically changing Binary Space Partition (BSP) trees. A BSP tree representation of a 3D polygonal scene provides an ideal data structure for rapidly performing the hidden surface computations involved in changing the viewpoint. However, BSP trees have generally been thought to be unsuitable for applications where the geometry of objects in the scene changes dynamically. The purpose of this paper is to introduce a dynamic BSP tree algorithm which does allow for such changes, and which maintains the simplicity and integrity of the BSP tree representation. The algorithm is extended to include dynamic changes to shadows. We calibrate the algorithms by transforming a range of objects in a scene, and reporting on the observed timing results.