DEFINING SIMPLE nD OPERATIONS BASED ON PRISMATIC nD OBJECTS

Defining simple nDoperations based on prismatic nDobjects

Defining simple nD operations based on prismatic nD objects. Ken Arroyo Ohori, Hugo Ledoux and Jantien Stoter. In E. Dimopoulou and P. van Oosterom (eds.), 11th 3D Geoinfo Conference, ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences IV–2/W1, ISPRS, Athens, Greece, October 2016, pp. 155–162. ISSN: 2194–9042 (Print), 2194–9050 (Internet and USB). doi: 10.5194/is...

A Homological-Based Description of Subdivided nD Objects

We present here a topo–geometrical description of a subdivided nD object called homological spanning forest representation. This representation is a convenient tool in order to completely control not only geometrical, but also advanced topological information of a given object. By codifying the underlying algebraic topological machinery in terms of coordinate–based graphs, we progress in the ta...

SUBSECTION ON DENTISTRY (Nd).

Removal Operations in nD Generalized Maps for Efficient Homology Computation

In this paper, we present an efficient way for computing homology generators of nD generalized maps. The algorithm proceeds in two steps: (1) cell removals reduces the number of cells while preserving homology; (2) homology generator computation is performed on the reduced object by reducing incidence matrices into their Smith-Agoston normal form. In this paper, we provide a definition of cells...

Nd Modelling Roadmap a Vision for Nd-enabled Construction Nd Modelling Road Map: a Vision for Nd-enabled Construction

This paper provides an introduction to the ARK Smart Information System (SIS). It describes the business context in whichthe technology was conceived, and how the system addresses those needs. It outlines the important technology principles, and thebenefits of adopting such principles in a business environment. Finally it discusses the relevance of the technology to the thinkingbehi...