In some occasions, you will have to write an essay in the extremely short amount of time on the exam in college or high school. Also, you may be a little bit of a procrastinator, and find yourself in a situation when the paper is due tomorrow morning, and you have not even chosen the topic yet. Even though a last-minute essay cannot look as great as a work prepared successively and carefully within the whole time given, you still have a chance to submit a decent paper. The working process will require your full attention and a lot of effort, even if you are assigned a simple essay. However, if you learn the next few tips, the essay writing will seem significantly easier and feasible even when you are short on time.

Firstly, clean up your working space to get started. Make sure you have everything you need on the table, take a pen, a few sticky notes, your laptop, and read through the assignment requirements. In case no prompt is given, search for good essay topics, and pick a few uncommon and interesting ones you will be able to write about. Making a final choice, think which topic is the most relevant to your current studies and will not take too much to research.

Afterwards, look for the most trustworthy sources or the ones you are certainly allowed to use. If you are not sure, access the online library or any free services where you can look for the books and articles for your essay. Use sticky notes to write down the information and put them in front of you to see how much data has been gathered and if you need to continue researching. Reread these notes from time to time and cross out the info you do not find relevant anymore.

When you have the data you need to produce a quality work, it is crucial to think about the structure of the future paper. If you are not sure how to write an essay outline properly, check what your essay type is first. Each type is organized differently, so you need to look up the structure every time you are given an essay homework. You can also search for an example of the essay on your topic, and adhere to its outline. No matter what kind of essay you are going to write, it is important to start with a thesis statement. It should declare what problem you will review in the paper, and which facts or arguments you will use to do it professionally. As these arguments will be discussed in the main part of the essay, outline the body paragraphs and put down a few sentences with the rough description of each paragraph. Think of the way you will engage the reader in the introduction, and which thought will be conclusive for the paper. When the direction of the work is clear from the outline, use it to draft the first version of the essay.

If you are not used to model essay writing, do not worry - your draft should not necessarily look like a masterpiece. It is only the depiction of your thoughts, and as you will have them written down, it will be easier to create a good essay. There is no best way to write an essay, so trust the working methods you usually use. You may like taking short breaks once in a few minutes, or write everything in one sit - just make sure to keep the focus on writing and avoid the urge to call a friend or watch something online. Thus, you will finish the paper faster, and will not feel guilty for engaging in other activities afterwards.

Do not forget to go through the essay a few times after the completion. Everyone makes typos and mistakes by accident, but it is about you to find and fix them before your teacher does. If you need help with an essay editing, try asking a friend or a family member to read and analyze your work. Also, you can order editing services in case your paper needs to be perfectly polished so that you can submit an ideal essay and get an excellent grade.

As these steps are simple to follow, you will not have any problems coping with an essay on time. Try the whole procedure at least once, and you will not have to use any other tips preparing an essay paper during your studies!

What are the properties of B-spline curve?

Properties of B-spline Curve : Each basis function has 0 or +ve value for all parameters. Each basis function has one maximum value except for k=1. The degree of B-spline curve polynomial does not depend on the number of control points which makes it more reliable to use than Bezier curve.

What is B-spline curve also explain it?

A B-spline curve is defined as a linear combination of control points and B-spline basis functions given by. (1.62) In this context the control points are called de Boor points. The basis function is defined on a knot vector.

What is the order of B-spline curve?

B-splines are a more general type of curve than Bezier curves. In a B-spline each control point is associated with a basis function. . The Ni,k basis functions are of order k(degree k-1).

What is B-spline surfaces?

The surface analogue of the B-spline curve is the B-spline surface (patch). This is a tensor product surface defined by a topologically rectangular set of control points , , and two knot vectors and associated with each parameter , . The corresponding integral B-spline surface is given by. (1.86)

What is the difference between spline and B-spline?

SPLINE is a transformation. It takes a variable as input and produces a transformed variable as output. Internally, with SPLINE, a B-spline basis is used to find the transformation, which is a linear combination of the columns of the B-spline basis. However, with SPLINE, the basis is not made available in any output.

Why is B-spline curve better than Bezier curve?

Firstly, a B-Spline curve can be a Bezier curve whenever the programmer so desires. Further B-Spline curve offers more control and flexibility than Bezier curve. It is possible to use lower degree curves and still maintain a large number of control points.

How the B-spline surface is generated?

We can create a B-Spline surface using a similar method to the Bézier surface. For B-Spline curves, we used two phantom knots to clamp the ends of the curve. For a surface, we will have phantom knots all around the eal knots as shown below for an M+1 by N+1 knot surface.

How do you calculate B-spline?

Hence, m = 4 and u0 = 0, u1 = 0.25, u2 = 0.5, u3 = 0.75 and u4 = 1. The basis functions of degree 0 are easy….Simple Knots.

Basis Function Range Equation
N0,1(u) [0.25, 0.5) 2(1 – 2u)
N1,1(u) [0.25, 0.5) 4u – 1
[0.5, 0.75) 3 – 4u
N2,1(u) [0.5, 0.75) 2(2u – 1)

What are the practical application of B-spline and Bezier curve?

B-spline curve addresses problems with the Bezier curve. It provides the most powerful and useful approach to curve design available today. Freeform curves and surfaces have very broad application. Thus, Bezier-curves are used to draw the path of motion of a point (object).

What are the major differences between Bezier & cubic spline curve?

The main difference between Bezier and cubic curves and splines is that with a Bezier curve the two of the control points form the end points of the curve and the remaining control points are off the curve. With a cubic spline, all the control points are on the curve.

What are splines explain in detail B-splines curves and surfaces?

A spline curve is a mathematical representation for which it is easy to build. an interface that will allow a user to design and control the shape of complex. curves and surfaces. In B-Spline, there is local control over the curve surface and the shape of the curve is affected by every vertex.

What is a spline coefficient?

The spline function is defined by a number, m, of parameters represented by the vector β. In Villez et al. (2013), the parameters are the spline coefficients. Given a QR defining the shape constraints, the feasible set for these coefficients, Ω(θ), is a convex subset of the real space Ω θ ⊆ ℝ .