New tools for animation and design : a haptic-based system for stop motion camera animation and curve design by algebraic-trigonometric Pythagorean Hodograph curves

In the first part, we present a new system that allows to create realistic cameramovements for a stop motion animation. The system improves traditional 3D software animation programs (for example Maya and 3D Studio Max) for creatingstop motion camera movements by using an haptic interface. After describing thewhole system, we explain in detail the mathematical processing to obtain differentcamera movements by using an haptic interface for motion capture. The recordedhaptic positions, once elaborated, are exported, frame by frame, to the motioncontrol software, which allows to calibrate the motion control robot, to control thecamera settings and, finally, to execute the sequences. A class of students of the"Art plastiques et Création numérique" Master of the University of Valenciennesevaluated the system. In the second part, we define a new class of Pythagorean Hodograph curves built upon a five dimensional mixed algebraic trigonometric space, and show their fundamental properties and important advantages over their well known polynomial counterpart. A complex representation for these curves is introduced and constructive approaches are provided to solve the first order Hermite interpolation problem.

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Field Value
Source https://theses.hal.science/tel-00835671
Author Saini, Laura
Maintainer CCSD
Last Updated May 10, 2026, 08:30 (UTC)
Created May 10, 2026, 08:30 (UTC)
Identifier NNT: 2013VALE0013
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015 (LAMAV) ; Université de Valenciennes et du Hainaut-Cambrésis (UVHC)-Centre National de la Recherche Scientifique (CNRS)
creator Saini, Laura
date 2013-06-13T00:00:00
harvest_object_id 6139a4d3-afec-41ad-8c1f-cd97c1563450
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-03-31T00:00:00
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