This paper reports a geometric constraint solving approach based on symbolic computation. With this approach, we can compute robust numerical solutions for a set of equations. We give complete methods of deciding whether the constraints are independent and whether a constraint system is over-constraint. Also, over-constrainted systems can be handled naturally. Based on symbolic computation, we ...

Geometric Algebra is a very general mathematical system providing simultaneously a geometrification of algebra, and also an algebrification of geometry. As an example, we present a specific Geometric Algebra, that we call Compass Ruler Algebra, which is very well suited to compute similar to working with compass and ruler. Geometric objects such as circles and lines as well as geometric operati...

The paper deals with didactical scenarios on the notion of geometric congruence based on previous successful experience with using a specific model T which reflects the relations among structures, activities and intelligences (in the sense of Howard Gardner). The underlying idea is that different representations of the same object of study (Figure 1) enable the learner to use his/her strong int...

In this paper we unify and extend many of the known results on the dimensions of deterministic and random Cantor-like sets in R n using their symbolic representation. We also construct several new examples of such constructions that illustrate some new phenomena. These sets are deened by geometric constructions with arbitrary placement of subsets. We consider Markov constructions, general symbo...

In this paper we present an algorithm for a glass-painting filter. The filter inputs any arbitrary 2D image and converts it into its equivalent glass painted form. The initial image is processed through various nonphotorealistic rendering stages. The major steps involved in the process include – edge detection and refinement, conversion of image into painted form, changing the appearance of the...

A text-book on this subject has been long overdue and the authors are to be congratulated on the production of such an interesting and readable volume which contains much important work hitherto accessible to the student only in scattered writings. The book includes admirable descriptions of modern industrial processes, viz., mining, iron and steel working, textile industries, potteries and gla...