Mathematical Morphology in Multi-Dexel Representation

2009 ◽  
Author(s):  
Wei Zhao ◽  
Xiaoping Qian
Keyword(s):  
Mathematical Morphology ◽  
Three Dimensional ◽  
Spatial Relationship ◽  
Noise Removal ◽  
Theoretic Approach ◽  
Three Dimension ◽  
Three Dimensional Objects ◽  
Set Operations ◽  
Part Surface ◽  
Definition Of

Mathematical morphology provides a set-theoretic approach for spatial structure analysis and is particularly useful for describing the spatial relationship between a tool under motion and the part surface. However, its usage in three-dimension has so far been limited in part due to its computational complexity. This paper presents a multi-dexel based computer implementation of morphology operations. Three dimensional objects (tools and parts) are represented as collections of dexels (depth elements) in multiple directions. Morphology operations such as dilation and erosion are then converted to a series of 1D set operations in each direction. We show that our definition of multi-dexel is formal and our implementation is complete. We present our implementation results on three morphological applications: AFM image simulation, noise removal in 3D mesh, and NC path generation.

scholarly journals Deterministic mathematical morphology for CAD/CAM

2014 ◽  
Vol 31 (7) ◽  
pp. 1221-1241 ◽  
Author(s):  
Rubén Sarabia-Pérez ◽  
Antonio Jimeno-Morenilla ◽  
Rafael Molina-Carmona
Keyword(s):  
Mathematical Morphology ◽  
Geometric Model ◽  
Three Dimensional ◽  
Morphological Operations ◽  
Basic Operation ◽  
Geometric Data Structures ◽  
Content Type ◽  
Morphological Operators ◽  
Cad Cam ◽  
Definition Of

Purpose – The purpose of this paper is to present a new geometric model based on the mathematical morphology paradigm, specialized to provide determinism to the classic morphological operations. The determinism is needed to model dynamic processes that require an order of application, as is the case for designing and manufacturing objects in CAD/CAM environments. Design/methodology/approach – The basic trajectory-based operation is the basis of the proposed morphological specialization. This operation allows the definition of morphological operators that obtain sequentially ordered sets of points from the boundary of the target objects, inexistent determinism in the classical morphological paradigm. From this basic operation, the complete set of morphological operators is redefined, incorporating the concept of boundary and determinism: trajectory-based erosion and dilation, and other morphological filtering operations. Findings – This new morphological framework allows the definition of complex three-dimensional objects, providing arithmetical support to generating machining trajectories, one of the most complex problems currently occurring in CAD/CAM. Originality/value – The model proposes the integration of the processes of design and manufacture, so that it avoids the problems of accuracy and integrity that present other classic geometric models that divide these processes in two phases. Furthermore, the morphological operative is based on points sets, so the geometric data structures and the operations are intrinsically simple and efficient. Another important value that no excessive computational resources are needed, because only the points in the boundary are processed.

scholarly journals Simulation Informed CAD for 3D Nanoprinting

Micromachines ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 8 ◽  
Author(s):  
Jason D. Fowlkes ◽  
Robert Winkler ◽  
Eva Mutunga ◽  
Philip D. Rack ◽  
Harald Plank
Keyword(s):  
Analytical Model ◽  
Computer Aided Design ◽  
Critical Mass ◽  
Three Dimensional ◽  
Three Dimensional Objects ◽  
Non Linear ◽  
Out Of Plane ◽  
Digital Scanning ◽  
Definition Of ◽  
Bending Nanowires

A promising 3D nanoprinting method, used to deposit nanoscale mesh style objects, is prone to non-linear distortions which limits the complexity and variety of deposit geometries. The method, focused electron beam-induced deposition (FEBID), uses a nanoscale electron probe for continuous dissociation of surface adsorbed precursor molecules which drives highly localized deposition. Three dimensional objects are deposited using a 2D digital scanning pattern—the digital beam speed controls deposition into the third, or out-of-plane dimension. Multiple computer-aided design (CAD) programs exist for FEBID mesh object definition but rely on the definition of nodes and interconnecting linear nanowires. Thus, a method is needed to prevent non-linear/bending nanowires for accurate geometric synthesis. An analytical model is derived based on simulation results, calibrated using real experiments, to ensure linear nanowire deposition to compensate for implicit beam heating that takes place during FEBID. The model subsequently compensates and informs the exposure file containing the pixel-by-pixel scanning instructions, ensuring nanowire linearity by appropriately adjusting the patterning beam speeds. The derivation of the model is presented, based on a critical mass balance revealed by simulations and the strategy used to integrate the physics-based analytical model into an existing 3D nanoprinting CAD program is overviewed.

Clearance Measurement of 3D Objects Using Accessibility Cone

2019 ◽  
Author(s):  
Masatomo Inui ◽  
Kouhei Nishimiya ◽  
Nobuyuki Umezu
Keyword(s):  
Graphics Processing Unit ◽  
Three Dimensional ◽  
Computation Time ◽  
Depth Information ◽  
Computation Method ◽  
Processing Unit ◽  
Three Dimensional Objects ◽  
Mechanical Products ◽  
Definition Of ◽  
Graphics Processing

Abstract Clearance is a basic parameter in the design of mechanical products, generally specified as the distance between two shape elements, for example, the width of a slot. This definition is unsuitable for evaluating the clearance during assembly or manufacturing tasks, where the depth information is also critical. In this paper, we propose a novel definition of clearance for the surface of three-dimensional objects. Unlike the typical methods used to define clearance, the proposed method can simultaneously handle the relationship between the width and depth in the clearance, and thus, obtain an intuitive understanding regarding the assembly and manufacturing capability of a product. Our definition is based on the accessibility cone of a point on the object’s surface; further, the peak angle of the accessibility cone corresponds to the clearance at this point. A computation method of the clearance is presented and the results of its application are demonstrated. Our method uses the rendering function of a graphics processing unit to compute the clearance. A large computation time necessary for the analysis is considered as a problem regarding the practical use of this clearance definition.

scholarly journals A PET palack és egyéb poliészter hulladékok újrafeldolgozása, újrahasznosítása

2021 ◽  
Vol 11 (22) ◽  
pp. 294-304
Author(s):  
Csaba Kutasi
Keyword(s):  
Raw Materials ◽  
Three Dimensional ◽  
Common Language ◽  
Moulding Process ◽  
Three Dimensional Objects ◽  
Pet Bottles ◽  
Injection Moulding Process ◽  
End Products ◽  
The Common ◽  
Definition Of

The scientific definition of polyethylene terephthalate (PET) changed for polyester in the common language. It was first manufactured in 1928 and the production of the fibre version started in 1941. Nowadays, 70% of artificial textile raw materials are polyester fibres and a significant amount of plastic waste is generated at the end of the life cycle of polyester clothing and other end products. The injection moulding process introduced in the 1970s made it possible to design and produce three-dimensional objects, and this resulted in the spreading of light, transparent, resistant and non-fragile PET bottles. Given that the degradation of PET is more than 450 years, the increase of recycling and reprocessing is an urgent pressure.

scholarly journals Spatial Reasoning Based on 3D-ICSRM Model

2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Yongshan Liu ◽  
Xiang Gong ◽  
Dehan Kong
Keyword(s):  
Spatial Reasoning ◽  
Three Dimensional ◽  
Spatial Relationship ◽  
Three Dimensional Objects ◽  
Proposed Model ◽  
Relationship Model ◽  
Composite Models ◽  
Differentiation Degree ◽  
And Performance ◽  
Reasoning Algorithm

The existing spatial relationship composite models have defects in both cognitive habits and differentiation degree when describing the spatial relationship between the three dimensional objects. These defects can cause inaccuracy in the process of spatial reasoning. In order to solve this problem, this paper proposes a Three-Dimensional Improved Composite Spatial Relationship Model (3D-ICSRM). Then a high-precision spatial relationship reasoning algorithm is presented based on this model, which combines qualitative and quantitative analyses. Finally, both the correctness and performance advantages of spatial reasoning algorithm are verified by experiments based on this proposed model.

scholarly journals Visual Rhetoric

Communication ◽  
2021 ◽  
Keyword(s):  
Visual Rhetoric ◽  
Cultural Practices ◽  
Three Dimensional ◽  
Contemporary Culture ◽  
Three Dimensional Objects ◽  
Moving Images ◽  
Rhetorical Studies ◽  
Visual Artifacts ◽  
Definition Of ◽  
Area Of Study

Visual rhetoric is a relatively new area of study that emerged in the late 1900s when rhetoric scholars recognized the increasing centrality of the visual in contemporary culture. There is no consensus on the definition of visual rhetoric; different scholars use the term in different ways. Broadly, it refers to the analysis of the communicative and persuasive power of visual artifacts. These artifacts range from two-dimensional images such as photographs, political cartoons, and maps to moving images in film or television. They also include three-dimensional objects like murals, as well as places, spaces, and bodies. Although much scholarship on visual rhetoric focuses on the communicative aspects of visuals, there are also a number of studies that examine cultural practices of looking and interpreting. While visual rhetoric borrows from various methods and disciplines that also concern themselves with the visual, such as semiotics, aesthetics, and cultural studies, this bibliography focuses narrowly on the branch of study that emerged from US rhetorical studies within the discipline of communication in the 1970s. This bibliography begins with pieces that hail from other disciplines in order to recognize their influence in thinking about the rhetorical dimensions of visuals. From there, it moves to suggest general overviews and anthologies of this area of study, as well as some methods to evaluate images. Finally, the bibliography focuses on different forms of visual rhetoric that range from photographs to bodies.

scholarly journals Using Vector and Conventional Approach in Calculating Distance in a Three Dimensional Objects

2019 ◽  
Vol 2 (2) ◽  
pp. 101-109
Author(s):  
Andi Pujo Rahadi
Keyword(s):  
High School ◽  
High School Students ◽  
Three Dimensional ◽  
Research Data ◽  
Conventional Approach ◽  
Normal Vector ◽  
Three Dimension ◽  
School Students ◽  
Three Dimensional Objects ◽  
Vector Approach

Many of high school students find difficulty in studying three dimensional geometry. They find difficulty in understanding three dimension objects such as cube, cuboid, pyramide, etc. Most students fail to make correct perception about the distance to calculate, when the problems are dealing with lines or planes. Only students with good spatial capability can solve such problems.  This research focused on making new approaching method to understand and then calculate the distance in a three dimensional objects. The approach is vector approach, including develop connection vectors, normal vector of a plane, and calculating distance from a point to certain line or plane using vector theorems. The Approach was tested by experimental study to a class of XII grade of high school students in SMAN 1 Parongpong, Indonesia,  consists of 30 students, and conducted in six meeting. A similar class treated with the conventional spatial approach as the control class. SPSS 20 was used to analyze the research data. Based on the research data analysis, the conclusion of the study was  that students treated with vector approach achieve higher performance improvement compare with the students treated with conventional approach. By using vector theorems to solve three dimensional problems, we turn the theory into action.   Keywords       :  Vector Approach, Three Dimensional, Distance, Line, Plane

Application of high-resolution field-emission LVSEM, backscatter imaging, immunogold staining to definition of the spatial distributions of two human neutrophil adherence receptors

1993 ◽  
Vol 51 ◽  
pp. 36-37
Author(s):  
Robert D. Nelson ◽  
Sharon R. Hasslen ◽  
Stanley L. Erlandsen
Keyword(s):  
Cell Surface ◽  
Surface Membrane ◽  
Three Dimensional ◽  
Human Neutrophils ◽  
Spatial Distributions ◽  
Immunogold Staining ◽  
Functional Control ◽  
Neutrophil Adherence ◽  
Definition Of ◽  
Mode Of Attachment

Receptors are commonly defined in terms of number per cell, affinity for ligand, chemical structure, mode of attachment to the cell surface, and mechanism of signal transduction. We propose to show that knowledge of spatial distribution of receptors on the cell surface can provide additional clues to their function and components of functional control.L-selectin and Mac-1 denote two receptor populations on the neutrophil surface that mediate neutrophil-endothelial cell adherence interactions and provide for targeting of neutrophil recruitment to sites of inflammation. We have studied the spatial distributions of these receptors using LVSEM and backscatter imaging of isolated human neutrophils stained with mouse anti-receptor (primary) antibody and goat anti-mouse (secondary) antibody conjugated to 12 nm colloidal gold. This combination of techniques provides for three-dimensional analysis of the expression of these receptors on different surface membrane domains of the neutrophil: the ruffles and microvilli that project from the cell surface, and the cell body between these projecting structures.

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