What is Perspective: Definition and 219 Discussions
Linear or point-projection perspective (from Latin: perspicere 'to see through') is one of two types of graphical projection perspective in the graphic arts; the other is parallel projection. Linear perspective is an approximate representation, generally on a flat surface, of an image as it is seen by the eye. The most characteristic features of linear perspective are that objects appear smaller as their distance from the observer increases, and that they are subject to foreshortening, meaning that an object's dimensions along the line of sight appear shorter than its dimensions across the line of sight. All objects will recede to points in the distance, usually along the horizon line, but also above and below the horizon line depending on the view used.
Italian Renaissance painters and architects including Masaccio, Paolo Uccello, Piero della Francesca and Luca Pacioli studied linear perspective, wrote treatises on it, and incorporated it into their artworks, thus contributing to the mathematics of art.
Namaste & G'day!
Imagine a helicopter view of a Polo ground. It's length & breadth are known.
Now you are seated where the blue dot is. Your view is such:
How do mathematicians calculate the distance travelled by a ball from the second perspective?
From the top view, this would be...
If we took the perspective of the space traveller themselves, they are stationary and the whole universe goes past them at 0.7c. THen th elapsed time of 6.5 yr looking outside is
\Delta t =6.5 \frac{1}{\sqrt{1-0.7^2}} = 9.11 yrs
THen, when the traveller looks at the person travelling at 0.9c...
How is it that the early Greeks and Romans had such well-sculpted statues of human figures, but not so well-drawn people on canvas or other 2D surfaces?
I understand the mathematical difference, that the independent variables are the "reference position vector+time" for material description, and "current position vector+time" for the spatial description. But I can't seem to wrap my head around the concept of the spatial description.
Hello everyone! I’m a college student interested in starting a nonprofit organization centered around supplementing classroom STEM education. After working with a few schools and teachers in my area (Northern NJ), I’ve been told that students could benefit from more learning opportunities...
According to a video I watched recently 'time' allegedly runs a tad slower in places on the Earth where the magnetic field is stronger. No doubt that has been tested and confirmed by atomic clock experiments.. to my simple mind that just suggests a timing error caused by the difference in...
Hello all!
As seen in the summary, I'm not sure if anyone can understand, but I will try to make this as clear as possible.
Working in the 3D Plane:
Given that there is a trajectory motion in the 3D Plane, and I have the coordinates of the motion at every 1s interval.
This means at t=1s, the...
Hi Fellas! My first post after a long hiatus from forums. Feeling nostalgia (this is the place where it all began, my fuel for quantum fascination so to speak).
I am revisiting the mathematical formulation of quantum mechanics with the dimensional (MLT) perspective. I want to understand what...
Spacetime physics chapter 4 describes this wonderfully well chosen set of speeds/distances for the twin paradox.
A traveler departs from Earth at a speed of 99/101 (1=speed of light), traveling to a star that is 99light years away. From Earth's perspective, the traveler takes 101 years to go...
I can calculate the value of the integration, it will be ##\frac{\sqrt{3}}{2}##
But if I draw the function and consider the area bounded by the curve and x-axis from x = 0.5 to x = 1, it seems that the area will be infinite because x = 1 is vertical asymptote.
Why can't I consider from "area...
Hi,
Maybe this is a foolish question but I am not able to wrap my mind around it.
I imagining a spaceship approaching the Earth as shown below. The ship is planning to land at the red cross in the first picture, somewhere in Europe. I think, from this distance the pilot must feel that he is...
Disclaimer: This will be a lengthy post and it will take me a little time to outline how this is related to this forum, so please hang in with me here please – and for everyone that makes it to the end, thanks for taking the time.
So let’s start with the premise that we want to make a 3d game...
I have a physics B.S. It seems like I learned little more than how to solve math problems as an undergrad. I want to know how the physical world works in concrete physical terms as much as is possible, so a big problem I have with physics is that concepts are very often explained in terms of...
Hello! This questions might not make sense and I am sorry if that is the case (I am asking from a QM class perspective). I am a bit confused about the idea of spontaneously symmetry breaking (SSB), from the point of view of QM. I am talking here about the energy plot looking like a mexican hat...
I have tried calculating it as a Uniform Accelerated Movement problem: , where t is the time for the observer at Earth, O.
For calculating t'' (the proper time for the accelerated spaceship observer), it is just using a Lorentz transformation?
It seems easy, but as is stated that the frame is...
https://phys.org/news/2020-01-fossil-upend-basic-tenet-evolutionary.html
Sandra Catania et al.
Evolutionary Persistence of DNA Methylation for Millions of Years after Ancient Loss of a De Novo Methyltransferase,
Cell (2020). DOI: 10.1016/j.cell.2019.12.012
Using pathogenic fungus species, the...
Summary: Perspective projection is often referred to when talking about camera models
I have the following problem. Perspective projection is often referred to when talking about camera models(https://en.wikipedia.org/wiki/3D_projection#Perspective_projection). I don’t think I understand it...
Hi, and thanks for reading. I asked this question in another forum too.
If we agree that Andromeda is 2.5 million light years away, and its diameter around 220,000 light years, I don't see how it just appears as a regular point of light like any other star in the unaided eye.
Something that so...
I am trying to gain some perspective into the topic of «number of valid digits» when doing physics problems.
I have been doing physicsproblems for å long time, but i have never really understood why the rules regarding number of digits to include in the final answer - is the way that it is.
I...
At the moment, I am accepted to a few universities for statistics and data science programs (I was told there were a fair number of data scientists on this forum and the question applies more generally as well). One of these programs is in Finland at the University of Helsinki. I'm incredibly...
So I am having some hard time understanding exactly the effect of moving near light-speed on time. Most of the examples mention clocks as a way of measurement but I can understand why would a clock which is a mechanical or electrical device for measuring time would be effected with motion. That...
I purposely added this post to the general physics thread rather than the biology thread because the solution is probably not in biology.
Basically my PhD is in mitochondrial biology. Mitochondria are the energy producing organelles in the body which make energy by adding a chemical bond...
I am an undergrad with a husband and 4 kids. I work, tutor, work in a lab... all on top of my classes. I do really well on homework (and I really enjoy sitting and deriving with my white board) and I do well on our weekly quizzes. I stay above the average mark on everything... except exams; I...
I really liked this thread I just found on this forum. I would like to continue it as I just read Feynman Checkerboard as a Model of Discrete Space-Time.
This addresses space time on a checker board with single time units on one axis and a single space dimension on the other. There are only...
Hello,
I do not fully understand nature of Lorentz contraction. Is it bona fide effect or not?
https://en.wikipedia.org/wiki/Michelson%E2%80%93Morley_experiment
The article says:
“This allows a more elegant and intuitive explanation of the Michelson-Morley null result. In a comoving frame...
This question is kind of out there, so I'm not sure where to put it. But it is physics, somewhat, under the fact that information itself contain energy.
So, is it physically possible for a computer program running off of logical statements alone to be as intelligent as a human? Because this...
If someone from the outer space suddenly teleport to the Earth , will it feel the rotation of the earth? will it be disturbed by the fast rotating earth.
Does time dilation in relative UNIFORM motion REALLY happen or is it merely a perspective from one reference frame relative to another as in the simple case where objects appear smaller the further away they are from the perspective of an observer in a particular reference frame?
Putting it...
Good Morning everybody. I hope that this thread is of interest.
I am a retired architect with an interest in Mathematics.
My picture shows a view of The London Eye.
We know that it views as an ellipse but the major axis (drawn), clearly is not at right angles to the axis of the wheel and if you...
Hi guys !
I'm trying to understand the perspective distortion that can be observed in our vision and cameras, so many pages on the web that talks about photography says that the perspective distortion can be controlled using different focal lengths lenses, meanwhile a reduced group of pages...
Hi community,
I have a question about the Bernoulli principle. From statistical mechanics the pressure in the ideal gas is independent of velocity.
But in the case of the flow of an ideal gas in a channel, the pressure depends on the velocity.
Where can I clarify this misunderstanding...
This paper offers a Nobel laureate perspective on the history, status and future of GR in the astrophysical regime - https://arxiv.org/abs/1609.09781, General Relativity and Cosmology: Unsolved Questions and Future Directions.
I want to take a picture of an object. Then import the image into cad. And trace it. The issue I am having is the picture from the camera is a 3D perspective image. So it is impossible for me to trace in CAD.
Is there a way to convert an image from perspective to orthogonal? Or create a...
Hi,
First FYI, I have no education in physics.
Anyway -
I know Earth's escape velocity is about 41,000 kph. Anything less, and you'll eventually fall down back to earth.
Two points that seem to contradict each other -
1. Escape velocity gets decreased the farther away you are from the...
I have offers from Queen Mary London, Sussex and Leicester, but I think I'm leaning slightly towards Queen Mary.
In terms of intensity, it seems Leicester is the most intense then QM then Sussex, based on the number of modules in each year. Is this something worth taking into account and how...
This won't be news to the lovely PFers who happen to be Brits or Commonwealth citizens. But this floored me - I guess I'd never really thought about it:
Several hundred years from now, people might not think of the latter part of the 20th century as the Cold War Era, or the Post-WW2 Era, or...
What is the relation between classical from quantum vs measurement problem. On one hand they seem to be related on the other they seem to be of different nature.
We always see our screens on front of us and not 100 meters away, that we say is classical object although the screen is a quantum...
I'm having trouble with with understanding what this is, our text, Astronomy: a physical Perspective by Kutner, uses R(t). I understand r(t) is the distance between two objects at a point in time, but what is the scale factor big R(t)?
Supposed there is a tree on a perfectly flat plane. If an observer in front of that tree moves further and further away from the tree, the tree would look smaller and smaller. When the observer moves further and further away, would the lower part of the tree's trunk seem to disappear as if...
I have been pondering black holes for some time and have had trouble with the problems presented simply because there is very little we can do to study the phenomena. I have always thought of a black from the outside looking in, or basically the only way we can hope to see a black hole. However...
Some subtleties of the metric tensor are just becoming clear to me now. If I take ##g_{\mu\nu}=diag(+1,-1,-1,-1)##
and want to write ##\partial_\mu\phi^\mu##, it would be ##\partial_0\phi^0 -\partial_i\phi^i##, correct? ##\phi## is a 4-vector.
I have been doing a lot of reading about this and it seems really, really interesting. Correct me if I am wrong on any of this, but I'm going to attempt to summarize how traveling at the speed of light, or at least 99.998 percent the speed of light, would look in two different cases: in...
I recently became aware of the work of an Israeli historian and archeologist by the name of Israel Finkelstein who I gather is the director of the Institute of Archeology of the University of Tel Aviv.
He is also co-director of the Megiddo archeological works (or "digs") and co-author with Neil...
For those who believe human behavior is explicable in terms of evolutionary biology, can you please explain the following event. I'm personally at a loss for words. Maybe somebody else can help me make sense of this.
So far the explanation on BJT working principle always explained in electron flow perspective.
I felt it's hard to relate with conventional current direction notation when the explanation explained in electron flow direction notation. For example in NPN transistor, the C-E current flow made me...
Was interested in Physics ever since 6th grade when my science teacher taught us a few physics concepts. So when I got to high school, took a college preparatory Physics class. Pretty cool stuff. Loved having my mind abused day in and day out. I couldn't wait to the day I graduated and became...
While reading about von Mises distributions I wondered if the distribution of clusters such as galaxies could be related to the way they are being "mapped".
Suppose we observing our universe from a particular perspective, perhaps described by something like a von Mises distribution, or other...