001_Lecture Point

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POINTS DM2

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www.matysdesign.com

Lecture 1


Questions ? |

What is a point?

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What do points do?

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What are points used for?

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How do you manipulate points?

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How do you control points?

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What is the relationship of points and curves?


What is a point? WHAT IS A POINT? POINT OBJECT Point objects mark a single point in 3 D space. Points are the simplest objects when working in 3D software’s. Points are most often used as placeholders. They are placed with point drawing commands. They can be located with the point object snap and manipulated with transform commands. Point objects are not the same as control points which will later be discussed.

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a point

POINT OBJECT Point objects mark a single point in 3 D space. Points are the simplest objects when working in 3D software’s. Points are most often used as placeholders. They are placed with point drawing commands. They can be located with the point object snap and manipulated with transform commands. Point objects are not the same as control points which will later be discussed.


What do points do? WHAT DO POINTS DO? 2 POINT CURVE Is a line that is made up of 2 points, which contain coordinate data in 3D space. The points define the beginning and end of the line.

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2 point

2 POINT CURVE Is a line that is made up of 2 points, which contain coordinate data in 3D space. The points define the beginning and end of the line.


What do points do?

WHAT DO POINTS DO? MULTIPLE POINT

The connection of points into curves can be done numerous ways, some are a tighter fit then others. Simply selecting a curve function can give you a loose curve to point relationship. An interpret curve (interpcrv) function will give you the most accurate curve to point relationship.

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multi point

MULTIPLE POINT The connection of points into curves can be done numerous ways, some are a tighter fit then others. Simply selecting a curve function can give you a loose curve to point relationship. An interpret curve (interpcrv) function will give you the most accurate curve to point relationship.


What do points do? WHAT DO POINTS DO?

normal curve

DIVIDE CURVE Creates point objects by dividing a curve into a number of equal length segments or segments of a specified length. Dividing a curve creates an evenly set of spaced points throughout the length of the curve. The number of segments is defined in the parameters of the command and usually cannot be more than 1000 points.

divided curve

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DIVIDE CURVE Creates point objects by dividing a curve into a number of equal length segments or segments of a specified


WHATWhat DO POINTS do pointsDO? do? POINT GRID

grid

Draws a rectangular grid of point objects from specified corner locations, two adjacent corners and a distance, perpendicular to the construction plane, or from a center. Steps: 1. Must define the number of points in the x-direction. 2. Must define the number of points in the y-direction. 3. Select a starting point for the grid. 4. Select an ending point for the other corner.

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POINT GRID Draws a rectangular grid of point objects from specified corner locations, two adjacent corners and a distance, perpendicular to the construction plane, or from a center.


WhatARE are POINTS points used WHAT USEDfor? FOR? CLOSEST POINT Creates a point object at the closest point from a specified location to a selected object or on two objects where they are closest to each other.

Closest

The distance is located on the command line. This command finds the location on an object you specify that is closest to the base point you previously picked, and it then creates a point object. Point objects are created both of the selected objects at the points closest to each other.

CLOSEST POINT

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Creates a point object at the closest point from a specified location to a selected object or on two objects where they are closest to each other. The distance is located on the command line.


WHAT ARE POINTS USED FOR? CLOSEST POINT Creates a single object from selected point objects for selection and faster display. The point cloud object type improves Software’s performance when handling a large number of point objects imported from external files.

What are points used for?

You can use the point cloud object to group any number of individual points into a single object, minimizing the amount of storage in the 3DM file and maintaining performance. You can snap and select points in the cloud as if they were just point objects. A point cloud is similar to a mesh object that does not display any wires between vertices.

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POINT CLOUD

Creates a single object from selected point objects for selectio The point cloud object type improves Software’s performance external files.


VERONOI POINT CLOUD In mathematics, a Veronoi diagram is a special kind of decomposisiton of a metric space determined by distances to a specified discrete set of objects in the space. Voronoi diagrams have countless applications from statistics to biology and urban planning. Voronoi diagrams can also be useful in an architectural context, for several reasons: a. Their structural properties, both in 2d and 3d. b. As a way to subdivide/organize space, based on proximity/closest neighbor. c. The fact that they can describe many natural formations, like soap bubbles, sponges or bone cells, which can inform architecture with new ways to organize and structure space.

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WHAT ARE POINTS USED FOR? 3D SCANNER POINT CLOUD A 3D scanner is a device that scans a real world object 360 degrees, and collects data which is translated into a 3 dimensional model. A scanner will typically create a point cloud of geometric samples of the object. The points can be used to construct the shape of the object accurately. If color information is collected at each point, then the colors of the object will also be determined.

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WHAT ARE POINTS USED FOR? How do you manipulate points? CONTROL POINTS

Control points are coefficients of NURBS basis functions. Sometimes also called control vertex or node. Control points are markers or “grips” on objects such as curves, surfaces, lights, and dimensions and cannot be separated from their objects. DEGREE From a NURBS modeling point of view, the (degree –1) is the maximum number of “bends” you can get in each span.

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CONTROL POINTS Control points are coefficients of NURBS basis functions. Sometimes also called control vertex or node. Control points are markers or "grips" on objects such as curves, surfaces, lights, and dimensions and cannot be separated from


What is the relationship of points and curves? Control points determine the shape of the curve. Typically, each point of the curve is computed by taking a weighted sum of a number of control points. The weight of each point varies according to the governing parameter. The fact that a single control point only influences those intervals where it’s active is a highly desirable property, known as local support. In modelling, it allows the changing of one part of a surface while keeping other parts equal. Adding more control points allows better approximation to a given curve The control points can have any dimensionality. One-dimensional points just define a scalar function of the parameter. Three-dimensional control points are used abundantly in 3D modelling, where they are used in the everyday meaning of the word ‘point’, a location in 3D space. Multi-dimensional points might be used to control sets of time-driven values, e.g. the different positional and rotational settings of a robot arm. NURBS surfaces are just an application of this. Each control ‘point’ is actually a full vector of control points, defining a curve. These curves share their degree and the number of control points, and span one dimension of the parameter space. By interpolating these control vectors over the other dimension of the parameter space, a continuous set of curves is obtained, defining the surface.

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P-WALL - ANDREW KUDLESS 2009 S|11A


P-WALL - ANDREW KUDLESS Kudless generated a point cloud based on an image’s greyscale values. These points were then used to mark the positions of dowels which constrain the elasticity in the fabric formwork. Kudless then poured plaster into the mould so that the fabric expanded under the weight of the plaster. Assembled into a larger surface, a pattern emerges between the initial image’s grayscale tones and the shadows produced by the wall.

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Feathered Edge ANDRE LYON | 2009 S|15A


Feathered Edge - Andrew Lyon, Benjamin Ball and Gaston Nogues, Feather Edge is the exploration of space through fluid architectural forms. Linear connections are constructed to resemble objects hovering in space. With over 21 miles of twine, suspended from a mesh of scrims installed in the walls and ceilings; conveying the idea of “hovering in space”. The fabrication, by Ball-Noges Studio was simulated in parametric software will they generated a map to be printed onto a surface with precise detail and location of the points for the twine to suspend at a particular distribution. “The weight of the string creates a complex system of overlapping catenary curves on which cyan, magenta, yellow, and black segments were “printed” to yield the effect of ghostly three dimensional objects.”

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CRADLE - FRANK GEHRY 2010 S|19A


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GRAVIY’S LOOM - 2010

BENJAMIN JENETT, AYODH KAMATH S|21A


GRAVITY’S LOOM - BENJAMIN JENETT, AYODH KAMATH AND OTHERS Spanning from one end to another in a pavillion, the Gravity’s Loom is a composition of an array of colored twine that denotes the idea of “soft spiraling gossamer surface”. The twin will start in a ordered degree, twisting, controting, and spiralling to the atrium; changing the visitor’s experience as the descend/ascend the stairs. The twine is connect by two points that circulate the parimeter, forming a curvilinear expression in response to the Pavilion. At disctintive points, the twine is painted to illuminate an image or three dimensional volus that “will blur into billows of color and then snap into a focused geometry.” - Ball-Nogues

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DROP-IN DISTRACTION BENJAMIN BALL S|25A


DROP-IN DISTRACTION - BENJAMIN BALL + GASTON NODGES Los Angeles County Permit Office | 2010 Composed of two thousand individual metallic bead chains, is a first part of the Suspension series in the BallNogues studio experiement. “A combination of sculptural artwork and modular ceiling system, the chains span between custom perforated aluminum panels fitted within the existing acoustical ceiling grid. Each chain is in precise relation to its neighbors to yield an array that is more a diaphanous metallic vapor than a discrete solid object. “ The sculpture suggest a volume of a regulated surface that responds to it’s visual idea of “a torrent of falling rain.”

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UNSEEN CURRENT BENJAMIN BALL S|28A


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STATUE OF LIBERTY -

Dr. Louden, Texas Tech University 3d scan S|33A


3D SCAN Point clouds are essential when scaning objects because the plot the points based on the variable distances of color from the spectrum of the scanner to the object. This is a repetitive action that occurs as the scanner analyzes its data, determining precise detail for direct replication or fabrication.

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