An OBJ3 functional specification for boundary representation

Dufourd, Jean-François

doi:10.1145/112515.112529

Cited by 7 publications

(3 citation statements)

References 24 publications

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“…Thus, the use of algebraic specifications in computer graphics were first distinguished in [30] and has also interested specialists of specifications [21]. Subsequently, the combinatorial maps and their extensions were algebraicly specified to develop topology-based modelers [5,6,11,12].…”

Section: Related Workmentioning

confidence: 99%

Parametrizing geometric objects using λ-calculus

Dufourd¹,

Luther²

2002

Proceedings of the 18th Spring Conference on Computer Graphics

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This paper focuses on the general parameterization in geometric modeling. We have adapted the -calculus formalism to an existing geometrical model which has an applicative representation: the generalized maps embedded in the plane. We investigated how this allows us to parameterize geometric objects by other objects, which can themselves be functional, rather than just by values such as size, shape or position. Thus, conditional, iterative, recursive and shared objects can be built and managed in an homogenous way. We have based the study on an interactive prototype implemented in Objective Caml. Its interface offers two consistent working views. The first interacts with geometric objects while the second interacts with the corresponding programs. We have examined in detail various higher-order operations where -calculus abstraction and application are used extensively to demonstrate how such objects can be built and manipulated. We will illustrate the force of our proposals using more complex constructions.

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Section: Related Workmentioning

confidence: 99%

Parametrizing geometric objects using λ-calculus

Dufourd¹,

Luther²

2002

Proceedings of the 18th Spring Conference on Computer Graphics

Self Cite

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“…Gmaps describe subdivisions of surfaces, but we only embedded them in the plane. Since the gmaps are rigorously defined by algebraic structures, this approach has allowed us to carry on with our previous work [5,8,9]. Moreover gmaps could be used to describe subdivisions of nD-spaces [5,6,19].…”

Section: Related Workmentioning

confidence: 99%

“…Thus, the use of algebraic specifications in computer graphics were first distinguished in [21] and has also interested specialists of specifications [13]. Subsequently, the combinatorial maps and their extensions were algebraically specified to develop modelers [5,8].…”

Section: Related Workmentioning

confidence: 99%

Interacting with parametrized geometric objects using lambda-terms

Dufourd

Luther

2002

Proceedings of the Seventh ACM Symposium on Solid Modeling and Applications

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This paper presents a framework for general parameterization in geometric modeling. We have adapted the λ-calculus formalism to the geometrical model of the generalized maps embedded in the plane. We investigated how this allows us to parameterize geometric objects by size, shape or position but also by other objects or operators. Thus, conditional, iterative, recursive and shared objects can be built and managed in an homogenous way. We have based the study on an interactive prototype implemented in Objective Caml. Its interface offers two consistent working views. The first interacts with geometric objects while the second interacts with the corresponding programs. We have examined in detail various higher-order operations and constructions where λ-calculus abstraction and application are used extensively.

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