Kenjiro T. Miura

Tae-wan Kim

Min-jae Oh

R.U Gobithaasan

Norimasa Yoshida

Rifkat Nabiyev

Valerijan Muftejev

Please join our discussion.

Rushan, please could you specify what you specifically mean under the notion of 'geometric modelling', e.g. 2D, 3D; or geometry in N-dimentional spaces?

"The shapes studied in geometric modeling are mostly two- or three-dimensional, although many of its tools and principles can be applied to sets of any finite dimension."

Wikipedia

point-based rendering

image-based rendering

Thanks, Rushan & Hamsa, I got it. Misunderstanding on my side ...

Geometrical modeling from insider’s perspective have very long history. People explain their own geometric ideas and knowledge to perform their everyday activitie. For eg stone carvers and wood carvers create different geometric objects in their work implicitly but those people performed since long in craft model approaches.

My opinion is as follows:

1. T-splines ( https://en.wikipedia.org/wiki/T-spline )

2. Log-aesthetic curves ( http://www.yoshida-lab.net/aesthetic/ias2006pg.pdf )

3. Superspirals ( https://www.sciencedirect.com/science/article/abs/pii/S0167839612000325 )

It is exciting MOMENT to answer the above question:

My discoveries are on the table for discussion.

Documents are interrelated and UP-TO-DATE & Follows:

Education & Research:

CONTEXT OF PLAY

A LONGITUDINAL, OBSEVATIOAL STUDY OF CLIDREN'S PLAY BY MEHRI TAKHVAR Ph.D, November 1985.

Personal Development & Research,( Real cases):

Innovative Model registered under IP categories as 16, 41, 42& 44:

MT-pyramid Wholistic Geometric Quester: mtpyramid.weebly.com

Application & Case studies relating to

Exploration and revelation of Psychological issues in Health and importance of SELF in the process of BEING & Achievements.

Health,

Case Studies including personal case.

Can be re-opend for educational purposed.

Peter K Smith

May I suggest own research as a possible answer?

GeomSpace - https://sourceforge.net/projects/geomspace/ Article Uniform Theory of Geometric Spaces

My own Research: Context of play; MT-pyramid Wholistic Geomteric Quester: mtpyramid.weebly.com

I tend to aske everyone in this exchange, SELF QUESTIONs, revealing CONTEXTUAL: Who, Where, When, & How AM I?

Who am I ?

My Dimension in relation to the topic of investigation: point, line, spatial dimension?

Where am I directionally?

following the past? Exploring here and now? auestioning, structuring or preventing.?

When am I conducting my research?

In time what technology is available?

HOW?

Let us start form "SELF", NOW EXPONENTIALLY.@ PK Smith & EC3 & EC4 projects.

Thank you for asking Self Exploratory question being applicable wholistic geometric example.