Object Modeling

Written with the participation of Igor Katrichek katrichek@gmail.com

Introduction

4-D volume, its projection and interpretation should be consistent with each other . In order to understand how they can be used to simulate what we usually mean by an object, we will consider our idea of ​​the object.

An object can be defined in three ways:

1. Like a volume enclosed within a surface.
2. As a result of the synthesis of the construction: the village as an object is the synthesis of the houses of the village.
3. As a result of the design analysis: the antenna is part of the missile guidance complex.

Object as volume

An object in the subject’s mind is not a static frozen picture. The object moves, changes. But we will start by tradition with a static object.

Usually we imagine a 3-D object like this: a surface and something unknown inside it. The ability to imagine the surface of a 3D volume is due to our stereoscopic vision. We have two eyes that can build a stereo pair, and a special processing algorithm. In practical problems of surface modeling, construct as many projections as required. The number of projections determines the ability to distinguish surface details. Modern methods allow modeling surfaces using vectors (in fact, deltas), which greatly saves resources.

To create an idea of ​​surface dynamics, we compare stereo pairs separated in time. We can increase or decrease the time between shootings, showing details, or, conversely, generalizing our idea. Modern films show us this way of modeling surfaces. At some point in time, the plot stops, and the camera begins to move around the scene, changing the viewing angle (different projections of the same surface are built).

In projection modeling, this kind of structure can be modeled in the following ways:

1. Using a temporary structure consisting of a “finite” number of temporary structures, each of which can be interpreted as a transition of an object from one position to the next. In this case, to ensure coherence between the positions, the final position of one transition coincides with the initial position of another transition.
2. Using a time structure consisting of a “finite” number of time intervals, each of which can be interpreted as the position of the object. Moreover, to ensure coherence between the provisions, the sequence of positions is determined by the sequence of time intervals.
3. With the help of a temporary substance, consisting of an “infinite” number of temporary structures, each of which can be interpreted as a transition of an object from one position to the next. In this case, to ensure coherence between the positions, the final position of one transition coincides with the initial position of another transition.
4. With the help of a temporary substance, consisting of an "infinite" number of time intervals, each of which can be interpreted as the position of the object. Moreover, to ensure coherence between the provisions, the sequence of positions is determined by the sequence of time intervals.

In the chapter on function modeling, we will see that the last two ways are ways to model a function. In fact, in this way we determined the existence function of the object.

Object as a result of synthesis or analysis

An object can be synthesized based on the concept of structure. For example, we can say: this set of houses is called a village. Modeling such an object comes down to modeling the structure. Or we can say that the antenna is part of a target detection installation. How to model such a definition of an object, I do not know yet.

It turns out that there are criteria for selecting an object. We select it based on meeting one or more criteria:

1. Recognition of the form
2. Recognition of composition or design
3. Save space in the structure

The relationship between the object, its construction and the construction in which it is included

The object as a volume is connected with the object as a construction only in the consciousness of the subject. When we say: “object and its construction”, we connect these two representations only by the fact that it seems to us that such a construction explains the properties of the object as a volume. There is no objective connection between an object, a structure, and a structure of which the object is a part.

Prejudices

To model objects, two prejudices must be overcome. The first is that the object is real, because its material composition is constant. It is enough to recall such an object as a fire hose through which water flows to understand that this is not so. But the water hose has a recognizable shape. The second prejudice is that we think that objects should be dense and continuous. By density I mean the impossibility of two objects to be in one place in space. But, as gases mix, so do objects - mix too. Objects can be transparent to each other. Continuity is associated with the idea that the object should move smoothly in space. Overcoming this prejudice is somewhat more difficult than accepting that the composition of an object can change. But imagine that teleportation became possible, and the object began to have gaps. Gaps are needed for modeling objects such as the director of an enterprise. This object breaks when a change of leadership occurs.